TL;DR
This paper explicitly constructs RR Page charges for various D-branes in B fields, demonstrating their independence from background B fields and supporting their quantization, through detailed analysis of equations and identities.
Contribution
It provides a novel explicit construction of RR Page charges in B fields, showing their independence from background B fields and the cancellation of complex terms.
Findings
RR Page charges are independent of background B fields.
The construction confirms RR Page charge quantization.
Complex terms from different sources cancel exactly.
Abstract
The RR Page charges for the D2-, D4-, D6-brane in B fields are constructed explicitly from the equations of motion and the nonvanishing (modified) Bianchi identities by exploiting their properties --- conserved and localized. It is found that the RR Page charges are independent of the backgound B fields, which provides further evidence that the RR Page charge should be quantized. In our construction, it is highly nontrivial that the terms like B x B x B, B x B x F, B x F x F from different sources are exactly cancelled with each other.
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